document.write( "Question 342327: One hiker hikes down a trail at 3.5 miles per hour and hikes back up at 2.1 miles per hour, and she spent a total of 16 hours hiking. How far did she hike? and how long did it take her to get to the bottom? \n" ); document.write( "
Algebra.Com's Answer #245001 by stanbon(75887)\"\" \"About 
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One hiker hikes down a trail at 3.5 miles per hour and hikes back up at 2.1 miles per hour, and she spent a total of 16 hours hiking. How far did she hike? and how long did it take her to get to the bottom?
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\n" ); document.write( "Down DATA:
\n" ); document.write( "rate = 3.5 mph ; distance = x miles ; time = d/r = x/3.5 hrs
\n" ); document.write( "---
\n" ); document.write( "Up DATA:
\n" ); document.write( "rate = 2.1 mph ; distance = x miles ; time = d/r = x/2.1 hrs
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "time + time = 16 hrs
\n" ); document.write( "x/3.5 + x/2.1 = 16
\n" ); document.write( "---
\n" ); document.write( "2.1x + 3.5x = 16*3.5*2.1 = 117.6
\n" ); document.write( "5.6x = 117.6
\n" ); document.write( "x = 21 miles
\n" ); document.write( "2x = 42 miles (total distance she hiked)
\n" ); document.write( "Time to get to the bottom = 21/3.5 = 6 hrs.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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